Thermomechanical modeling of foam glass porous structure stabilization at annealing. Part 1. Mathematical models and computational methods review

The analysis of annealing parameters effect on foam glass structural characteristics in order to purposefully control its properties is presented. The main attention is paid to the mathematical modeling of heat transfer processes and foam glass sample stress-strain state at the technological stage of annealing. The mathematical modeling methods for glass and foam glass annealing evolution is considered, various modeling approaches, including algebraic equations, integral and differential models, relaxation kinetic theory, numerical methods, and discrete modeling are analyzed. The study highlights that to understand the mechanisms of the heat transfer and the foam glass structure formation for production optimization is especially important.